Infinitesimal deformations of complex surfaces with boundary.
Infinitesimal deformations of quotient surface singularities
Integral closure of modules and Whitney equisingularity.
Irregular fibers of complex polynomials in two variables.
For a complex polynomial in two variables we study the morphism induced in homology by the embedding of an irregular fiber in a regular neighborhood of it. We give necessary and sufficient conditions for this morphism to be injective, surjective. Particularly this morphism is an isomorphism if and only if the corresponding irregular value is regular at infinity. We apply these results to the study of vanishing and invariant cycles.
La construction de la déformation semi-universelle d'un germe de variété analytique complexe
Les cycles évanescents sont dénoués
Lokale Tensorfelder auf arithmetischen Quotienten symmetrischer beschränkter Gebiete.
Milnor algebras versus modular germs for unimodal hypersurface singularities.
Modular deformations and space curve singularities.
We investigate different concepts of modular deformations of germs of isolated singularities (infinitesimal, Artinian, formal). An obstruction calculus based on the graded Lie algebra structure of the tangent cohomology for modular dcformations is introduced. As the main result the characterisation of the maximal infinitesimally modular subgerm of the miniversal family as flattening stratum of the relative Tjurina module is extended from ICIS to space curve singularities.
Monodromy zeta-functions of deformations and Newton diagrams.
Nodal deformations of singularities.
In this note we study deformations of a plane curve singularity (C,P) toδ(C,P) nodes. We see that for some types of singularities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ nodes can be made within the space of curves of the same degree.
Non-smoothable varieties.
Offenheit der Versalität in der analytischen Geoemtrie.
On associated discriminants for polynomials in one variable.
On deformations of monomial curves
On Equisingular Deformations of Cone-Like Surface Singularities.
On the ?-constant Stratum and the V-filtration: an Example.
On the discriminant of the Artin component
On the Highest Weight Deformation of a Quasihomogeneous Surface Singularity.
On the Kuranishi family of deformations of complex structures over a tubular neighborhood of a strongly pseudo convex boundary with complex dimension 3.